- more general:
- n,cube-dip n,m-dippip
- general polytopal classes:
- segmentotera
links
| Acronym | ocube |
| Name | octagon - cube duoprism |
| Circumradius | sqrt[7+2 sqrt(2)]/2 = 1.567516 |
| Volume | 2[1+sqrt(2)] = 4.828427 |
| Face vector | 64, 160, 152, 68, 14 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x8o o3o4x . . . . . | 64 | 2 3 | 1 6 3 | 3 6 1 | 3 2 ----------+----+-------+---------+---------+---- x . . . . | 2 | 64 * | 1 3 0 | 3 3 0 | 3 1 . . . . x | 2 | * 96 | 0 2 2 | 1 4 1 | 2 2 ----------+----+-------+---------+---------+---- x8o . . . | 8 | 8 0 | 8 * * | 3 0 0 | 3 0 x . . . x | 4 | 2 2 | * 96 * | 1 2 0 | 2 1 . . . o4x | 4 | 0 4 | * * 48 | 0 2 1 | 1 2 ----------+----+-------+---------+---------+---- x8o . . x ♦ 16 | 16 8 | 2 8 0 | 12 * * | 2 0 x . . o4x ♦ 8 | 4 8 | 0 4 2 | * 48 * | 1 1 . . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * 8 | 0 2 ----------+----+-------+---------+---------+---- x8o . o4x ♦ 32 | 32 32 | 4 32 8 | 4 8 0 | 6 * x . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 6 2 | * 8
x4x o3o4x . . . . . | 64 | 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ----------+----+----------+------------+------------+------ x . . . . | 2 | 32 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x . . . | 2 | * 32 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . . . x | 2 | * * 96 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+----------+------------+------------+------ x4x . . . | 8 | 4 4 0 | 8 * * * | 3 0 0 0 | 3 0 0 x . . . x | 4 | 2 0 2 | * 48 * * | 1 2 0 0 | 2 1 0 . x . . x | 4 | 0 2 2 | * * 48 * | 1 0 2 0 | 2 0 1 . . . o4x | 4 | 0 0 4 | * * * 48 | 0 1 1 1 | 1 1 1 ----------+----+----------+------------+------------+------ x4x . . x ♦ 16 | 8 8 8 | 2 4 4 0 | 12 * * * | 2 0 0 x . . o4x ♦ 8 | 4 0 8 | 0 4 0 2 | * 24 * * | 1 1 0 . x . o4x ♦ 8 | 0 4 8 | 0 0 4 2 | * * 24 * | 1 0 1 . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 6 | * * * 8 | 0 1 1 ----------+----+----------+------------+------------+------ x4x . o4x ♦ 32 | 16 16 32 | 4 16 16 8 | 4 4 4 0 | 6 * * x . o3o4x ♦ 16 | 8 0 24 | 0 12 0 12 | 0 6 0 2 | * 4 * . x o3o4x ♦ 16 | 0 8 24 | 0 0 12 12 | 0 0 6 2 | * * 4 snubbed forms: s4x2o3o4s
x x4o x8o . . . . . | 64 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+---------------+-------------+------ x . . . . | 2 | 32 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 64 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 64 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+---------------+-------------+------ x x . . . | 4 | 2 2 0 | 32 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 32 * * * | 0 2 1 0 0 | 1 2 0 . x4o . . | 4 | 0 4 0 | * * 16 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 64 * | 0 1 0 1 1 | 1 1 1 . . . x8o | 8 | 0 0 8 | * * * * 8 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+---------------+-------------+------ x x4o . . ♦ 8 | 4 8 0 | 4 0 2 0 0 | 8 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 32 * * * | 1 1 0 x . . x8o ♦ 16 | 8 0 16 | 0 8 0 0 2 | * * 4 * * | 0 2 0 . x4o x . ♦ 8 | 0 8 4 | 0 0 2 4 0 | * * * 16 * | 1 0 1 . x . x8o ♦ 16 | 0 8 16 | 0 0 0 8 2 | * * * * 8 | 0 1 1 ----------+----+----------+---------------+-------------+------ x x4o x . ♦ 16 | 8 16 8 | 8 4 4 8 0 | 2 4 0 2 0 | 8 * * x x . x8o ♦ 32 | 16 16 32 | 8 16 0 16 4 | 0 8 2 0 2 | * 4 * . x4o x8o ♦ 32 | 0 32 32 | 0 0 8 32 4 | 0 0 0 8 4 | * * 2
x x4o x4x . . . . . | 64 | 1 2 1 1 | 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ----------+----+-------------+---------------------+-----------------+-------- x . . . . | 2 | 32 * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x . . . | 2 | * 64 * * | 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . x . | 2 | * * 32 * | 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x | 2 | * * * 32 | 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ----------+----+-------------+---------------------+-----------------+-------- x x . . . | 4 | 2 2 0 0 | 32 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . x . | 4 | 2 0 2 0 | * 16 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x | 4 | 2 0 0 2 | * * 16 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x4o . . | 4 | 0 4 0 0 | * * * 16 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . x . | 4 | 0 2 2 0 | * * * * 32 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x . . x | 4 | 0 2 0 2 | * * * * * 32 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . x4x | 8 | 0 0 4 4 | * * * * * * 8 | 0 0 0 1 0 0 2 | 0 0 2 1 ----------+----+-------------+---------------------+-----------------+-------- x x4o . . ♦ 8 | 4 8 0 0 | 4 0 0 2 0 0 0 | 8 * * * * * * | 1 1 0 0 x x . x . ♦ 8 | 4 4 4 0 | 2 2 0 0 2 0 0 | * 16 * * * * * | 1 0 1 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 | * * 16 * * * * | 0 1 1 0 x . . x4x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 2 | * * * 4 * * * | 0 0 2 0 . x4o x . ♦ 8 | 0 8 4 0 | 0 0 0 2 4 0 0 | * * * * 8 * * | 1 0 0 1 . x4o . x ♦ 8 | 0 8 0 4 | 0 0 0 2 0 4 0 | * * * * * 8 * | 0 1 0 1 . x . x4x ♦ 16 | 0 8 8 8 | 0 0 0 0 4 4 2 | * * * * * * 8 | 0 0 1 1 ----------+----+-------------+---------------------+-----------------+-------- x x4o x . ♦ 16 | 8 16 8 0 | 8 4 0 4 8 0 0 | 2 4 0 0 2 0 0 | 4 * * * x x4o . x ♦ 16 | 8 16 0 8 | 8 0 4 4 0 8 0 | 2 0 4 0 0 2 0 | * 4 * * x x . x4x ♦ 32 | 16 16 16 16 | 8 8 8 0 8 8 4 | 0 4 4 2 0 0 2 | * * 4 * . x4o x4x ♦ 32 | 0 32 16 16 | 0 0 0 8 16 16 4 | 0 0 0 0 4 4 4 | * * * 2
x x x x8o . . . . . | 64 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x . . . . | 2 | 32 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 32 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 32 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 64 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x x . . . | 4 | 2 2 0 0 | 16 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 16 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 32 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 16 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 32 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x x . | 4 | 0 0 2 2 | * * * * * 32 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x8o | 8 | 0 0 0 8 | * * * * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+---------------------+------------------+-------- x x x . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 8 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 16 * * * * * | 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 16 * * * * | 1 0 1 0 x . . x8o ♦ 16 | 8 0 0 16 | 0 0 8 0 0 0 2 | * * * 4 * * * | 0 1 1 0 . x x x . ♦ 8 | 0 4 4 4 | 0 0 0 2 2 2 0 | * * * * 16 * * | 1 0 0 1 . x . x8o ♦ 16 | 0 8 0 16 | 0 0 0 0 8 0 2 | * * * * * 4 * | 0 1 0 1 . . x x8o ♦ 16 | 0 0 8 16 | 0 0 0 0 0 8 2 | * * * * * * 4 | 0 0 1 1 ----------+----+-------------+---------------------+------------------+-------- x x x x . ♦ 16 | 8 8 8 8 | 4 4 4 4 4 4 0 | 2 2 2 0 2 0 0 | 8 * * * x x . x8o ♦ 32 | 16 16 0 32 | 8 0 16 0 16 0 4 | 0 8 0 2 0 2 0 | * 2 * * x . x x8o ♦ 32 | 16 0 16 32 | 0 8 16 0 0 16 4 | 0 0 8 2 0 0 2 | * * 2 * . x x x8o ♦ 32 | 0 16 16 32 | 0 0 0 8 16 16 4 | 0 0 0 0 8 2 2 | * * * 2
x x x x4x . . . . . | 64 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------+----+----------------+------------------------------+---------------------+---------- x . . . . | 2 | 32 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 32 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 32 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 32 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 32 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+----+----------------+------------------------------+---------------------+---------- x x . . . | 4 | 2 2 0 0 0 | 16 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 16 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 16 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 16 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 0 | * * * * 16 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 16 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 16 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x x . | 4 | 0 0 2 2 0 | * * * * * * * 16 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 16 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x4x | 8 | 0 0 0 4 4 | * * * * * * * * * 8 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+----------------+------------------------------+---------------------+---------- x x x . . ♦ 8 | 4 4 4 0 0 | 2 2 0 0 2 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0 x x . x . ♦ 8 | 4 4 0 4 0 | 2 0 2 0 0 2 0 0 0 0 | * 8 * * * * * * * * | 1 0 1 0 0 x x . . x ♦ 8 | 4 4 0 0 4 | 2 0 0 2 0 0 2 0 0 0 | * * 8 * * * * * * * | 0 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 0 | 0 2 2 0 0 0 0 2 0 0 | * * * 8 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 8 * * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 4 * * * * | 0 0 1 1 0 . x x x . ♦ 8 | 0 4 4 4 0 | 0 0 0 0 2 2 0 2 0 0 | * * * * * * 8 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 8 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * 4 * | 0 0 1 0 1 . . x x4x ♦ 16 | 0 0 8 8 8 | 0 0 0 0 0 0 0 4 4 2 | * * * * * * * * * 4 | 0 0 0 1 1 ----------+----+----------------+------------------------------+---------------------+---------- x x x x . ♦ 16 | 8 8 8 8 0 | 4 4 4 0 4 4 0 4 0 0 | 2 2 0 2 0 0 2 0 0 0 | 4 * * * * x x x . x ♦ 16 | 8 8 8 0 8 | 4 4 0 4 4 0 4 0 4 0 | 2 0 2 0 2 0 0 2 0 0 | * 4 * * * x x . x4x ♦ 32 | 16 16 0 16 16 | 8 0 8 8 0 8 8 0 0 4 | 0 4 4 0 0 2 0 0 2 0 | * * 2 * * x . x x4x ♦ 32 | 16 0 16 16 16 | 0 8 8 8 0 0 0 8 8 4 | 0 0 0 4 4 2 0 0 0 2 | * * * 2 * . x x x4x ♦ 32 | 0 16 16 16 16 | 0 0 0 0 8 8 8 8 8 4 | 0 0 0 0 0 0 4 4 2 2 | * * * * 2
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